Question: Manufacturing and Product Development The energy rating, water consumption, and noise level of an electric dishwasher are all-important selling features. Suppose the makers of the Hotpoint DF55 claim that this model has a lower noise-level rating than any other comparable dishwasher. Independent random samples of the Hotpoint DF55 and of a similar Maytag dishwasher were obtained, and the noise level (in decibels) was measured for each. Is there any evidence to suggest that the population mean noise level for the Hotpoint dishwasher is less than the population mean noise level for the Maytag? Assume the underlying distributions are normal, with σ1 = 3.75 and σ2 = 4.14. Use a = 0.05.